Least Common Multiple of 660/51, 285/4023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/51, 285/4023 quickly i.e. 4180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/51, 285/4023 is 4180.

LCM(660/51, 285/4023) = 4180

LCM of 660/51, 285/4023

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 660/51,285/4023

Given numbers are 660/51,285/4023

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 660,285

Least Common Multiple of Numerators i.e. LCM of 660,285 is 12540.

GCF of Denominators means GCF of 51,4023 as per the given fractions.

GCF of 51,4023 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,285

LCM of Fractions 660/51,285/4023 is 4180

3 660, 285
5 220, 95
44, 19

∴ So the LCM of the given numbers is 3 x 5 x 44 x 19 = 12540

Least Common Multiple of 660,285 with GCF Formula

Least Common Multiple of 660,285 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 660,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,285) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(660,285) x common factors =15 x 1 = 15

LCM(660,285) = ( 660 × 285 ) / 15

LCM(660,285) = 188100 / 15

LCM(660,285) = 12540


Lets's calculate GCF of 51,4023

3 51, 4023
17, 1341

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12540/3

Therefore the LCM of Fractions 660/51,285/4023 is 4180

Greatest Common Factor of 51,4023 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,4023 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1,3,9,27,149,447,1341,4023

Greatest Common Factor

We found the factors 51,4023 . The biggest common factor number is the GCF number.
So the greatest common factor 51,4023 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 660/51, 285/4023

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 660/51, 285/4023?

Answer: LCM of Numerators as per given numbers 660/51, 285/4023 is

LCM of Numerators i.e. for 660,285 is 12540

GCF of denominators i.e. for 51,4023 is 3.

Thus, LCM of Fractions is 4180.Finally, LCM of Fractions for 660/51, 285/4023 is 4180.